33282772992 has 624 divisors, whose sum is σ = 121073726592. Its totient is φ = 8918138880.

The previous prime is 33282772961. The next prime is 33282773003. The reversal of 33282772992 is 29927728233.

33282772992 is a `hidden beast` number, since 3 + 3 + 282 + 77 + 299 + 2 = 666.

It is a super-2 number, since 2×33282772992² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118443892 + ... + 118444172.

It is an arithmetic number, because the mean of its divisors is an integer number (194028408).

Almost surely, 2^33282772992 is an apocalyptic number.

33282772992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33282772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60536863296).

33282772992 is an abundant number, since it is smaller than the sum of its proper divisors (87790953600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33282772992 is an equidigital number, since it uses as much as digits as its factorization.

33282772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 33282772992 in words is "thirty-three billion, two hundred eighty-two million, seven hundred seventy-two thousand, nine hundred ninety-two".